https://doi.org/10.1140/epja/i2014-14085-x
Regular Article - Theoretical Physics
Beyond rainbow-ladder in bound state equations
Institute for Theoretical Physics, Justus-Liebig-University Gießen, Gießen, Germany
* e-mail: christian.fischer@theo.physik.uni-giessen.de
Received:
26
February
2014
Revised:
10
April
2014
Accepted:
15
April
2014
Published online:
16
May
2014
In this work we devise a new method to study quark-anti-quark interactions beyond simple ladder-exchange that yield massless pions in the chiral limit. The method is based on the requirement to have a representation of the quark-gluon vertex that is explicitly given in terms of quark dressings functions. We outline a general procedure to generate the Bethe-Salpeter kernel for a given vertex representation. Our method allows not only the identification of the mesons' masses but also the extraction of their Bethe-Salpeter wave functions exposing their internal structure. We exemplify our method with vertex models that are of phenomenological interest.
© SIF, Springer-Verlag Berlin Heidelberg, 2014
